You could use Priority Inbox, which you can train by using Important markers on actionable/otherwise useful email. With the Gmail app on Android/iOS you can eve

You could use Priority Inbox, which you can train by using Important markers on actionable/otherwise useful email. With the Gmail app on Android/iOS you can even get (push) notifications for just these important messages. But sure, I'd love to see Inbox for Apps as well, because my personal mail account uses Apps on my own domain.